On robust periodicity of delayed dynamical systems with time-varying parameters

Changyin Sun; Xunming Li; Chun Bo Feng

doi:10.1007/978-3-540-28647-9_6

On robust periodicity of delayed dynamical systems with time-varying parameters

Changyin Sun
, Xunming Li
, Chun Bo Feng

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2 Scopus citations

Abstract

In this paper, robust exponential periodicity of a class of dynamical systems with time-varying parameters is introduced. Novel robust criteria to ensuring existence and uniqueness of periodic solution for a general class of neural systems are proposed without assuming the smoothness and boundedness of the activation functions. Which one is the best in previous results is addressed.

Original language	English
Title of host publication	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Editors	Fuliang Yin, Chengan Guo, Jun Wang
Publisher	Springer Verlag
Pages	32-37
Number of pages	6
ISBN (Print)	3540228411, 9783540228417
DOIs	https://doi.org/10.1007/978-3-540-28647-9_6
State	Published - 2004
Externally published	Yes

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3173
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

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10.1007/978-3-540-28647-9_6

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Sun, C., Li, X., & Feng, C. B. (2004). On robust periodicity of delayed dynamical systems with time-varying parameters. In F. Yin, C. Guo, & J. Wang (Eds.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 32-37). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3173). Springer Verlag. https://doi.org/10.1007/978-3-540-28647-9_6

Sun, Changyin ; Li, Xunming ; Feng, Chun Bo. / On robust periodicity of delayed dynamical systems with time-varying parameters. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). editor / Fuliang Yin ; Chengan Guo ; Jun Wang. Springer Verlag, 2004. pp. 32-37 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "On robust periodicity of delayed dynamical systems with time-varying parameters",

abstract = "In this paper, robust exponential periodicity of a class of dynamical systems with time-varying parameters is introduced. Novel robust criteria to ensuring existence and uniqueness of periodic solution for a general class of neural systems are proposed without assuming the smoothness and boundedness of the activation functions. Which one is the best in previous results is addressed.",

author = "Changyin Sun and Xunming Li and Feng, \{Chun Bo\}",

year = "2004",

doi = "10.1007/978-3-540-28647-9\_6",

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isbn = "3540228411",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

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Sun, C, Li, X & Feng, CB 2004, On robust periodicity of delayed dynamical systems with time-varying parameters. in F Yin, C Guo & J Wang (eds), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3173, Springer Verlag, pp. 32-37. https://doi.org/10.1007/978-3-540-28647-9_6

On robust periodicity of delayed dynamical systems with time-varying parameters. / Sun, Changyin; Li, Xunming; Feng, Chun Bo.
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). ed. / Fuliang Yin; Chengan Guo; Jun Wang. Springer Verlag, 2004. p. 32-37 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3173).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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AU - Li, Xunming

AU - Feng, Chun Bo

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N2 - In this paper, robust exponential periodicity of a class of dynamical systems with time-varying parameters is introduced. Novel robust criteria to ensuring existence and uniqueness of periodic solution for a general class of neural systems are proposed without assuming the smoothness and boundedness of the activation functions. Which one is the best in previous results is addressed.

AB - In this paper, robust exponential periodicity of a class of dynamical systems with time-varying parameters is introduced. Novel robust criteria to ensuring existence and uniqueness of periodic solution for a general class of neural systems are proposed without assuming the smoothness and boundedness of the activation functions. Which one is the best in previous results is addressed.

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PB - Springer Verlag

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Sun C, Li X, Feng CB. On robust periodicity of delayed dynamical systems with time-varying parameters. In Yin F, Guo C, Wang J, editors, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Springer Verlag. 2004. p. 32-37. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-540-28647-9_6

On robust periodicity of delayed dynamical systems with time-varying parameters

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